an economist wants to estimate the mean per capita income (in thousands of dollars) for a major city in california. he believes that the mean income is $18.6, and the standard deviation is known to be $12.1. how large of a sample would be required in order to estimate the mean per capita income at the 80% level of confidence with an error of at most $0.25? round your answer up to the next integer.
Answers
Therefore , large of a sample would be required in order to estimate the mean per capita income will be $3,838.
Test statistics – what are they?You can assess the degree to which the distribution of your data conforms to that predicted underneath the null hypothesis of the statistical test you are just using by utilizing a test statistic. The data distribution, which is determined by the confidence interval and deviation from the central tendency of each observation, represents the frequency of each observation.
Here,
First step is to find z 80% confidence level
At 80% confidence level the z will be:
α/2 = 1 - 80% = 1 - 0.80 = 0.20
α/2= 0.20 / 2 = 0.01
Zα/2= Z0.01= 1.28 from z table
Now let calculate the Sample size using this formula
Sample size = n= [( Z\(\alpha\)/2* σ ) / E]^2
Let plug in the formula
n = (1.28*12.1/0.25)^2
n= 3,838.05
n=3,838.(Approximately)
Therefore , large of a sample would be required in order to estimate the mean per capita income will be $3,838.
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Related Questions
what is the minimum vertical ceiling height to play indoor volleyball?
Answers
Answer:
USA Volleyball specifies a minimum ceiling height of 23′ for nationally sanctioned competition.
Step-by-step explanation:
its height regulation of how tall the ceiling should be
is 3- greater than 5-
Answers
No, 3 is not greater than 5. This is because 5 is larger than 3.
Is 3- greater than the number 5?From the question, we have the following parameters that can be used in our computation:
3 and 5
No, 3 is not greater than 5. This is because 5 is larger than 3.
In other words, 5 is further to the right on the number line than 3.
We can also say that 5 is the greater number and 3 is the lesser number.
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im so confused pleaseeee help
Answers
Answer:
99mm^2
Step-by-step explanation:
Area of a rectangle: A = l*w
Length: 11mm
Width: 9mm
A = 11 * 9
A = 99 mm^2
Hope this helps!
Solve the following inequality for r. Write your answer in simplest form. -5r - 2(-10r - 9)<=-6r + 8 - 9
Answers
Distribute on the left side:-5r + 20r + 18 ≤ -6r - 1
Combine like term on the left side:15r + 18 ≤ -6r -1 (Add 6 to both sides)21r + 18 ≤ -1 (Subtract 18 from both sides)21r ≤ -1921r/21 ≤ -19/21 (Divide by 21)Get Solution r ≤ -19/21Solution:r ≤ -19/21
Let's explore a job or career based on a salary. A high school graduate can make $31,200 per year. Any additional year of training or schooling can
increase the salary by $4,000 per year. Complete the table to show salaries of individuals who have the following years of training or schooling beyond
high school. In the last cell, give a general algebraic expression (using x instead of a number) to represent a job or career salary based on
Answers
The complete table will be;
In 2 years, The amount of salary = $35,200
In 5 years, The amount of salary = $31,200 + 5 x $4,000 = $51,200
In 10 years, The amount of salary = $71,200
In x years, The amount of salary = = $31,200 + $4,000x
What is Multiplication?
To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
A high school graduate can make $31,200 per year.
Any additional year of training or schooling can increase the salary by $4,000 per year.
Now, In one year, Salary = $31,200
So, In 2 years, The amount of salary = $31,200 + $4,000
= $35,200
In 5 years, The amount of salary = $31,200 + 5 x $4,000
= $31,200 + $20,000
= $51,200
In 10 years, The amount of salary = $31,200 + 10 x $4,000
= $31,200 + $40,000
= $71,200
In x years, The amount of salary = $31,200 + x × $4,000
= $31,200 + $4,000x
Thus, The complete table will be;
In 2 years, The amount of salary = $35,200
In 5 years, The amount of salary = $31,200 + 5 x $4,000 = $51,200
In 10 years, The amount of salary = $71,200
In x years, The amount of salary = = $31,200 + $4,000x
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true or false: every set of 15 socks chosen among 14 pairs of socks contains at least one matched pair. explain why.
Answers
The statement of the given question is True.
True. This is because there are only 14 different types of socks to choose from, so if you choose 15 socks, there must be at least one pair of socks that match. This is known as the Pigeonhole Principle, which states that if there are more pigeons than pigeonholes, at least one pigeonhole must contain more than one pigeon. In this case, the socks are the pigeons and the different types of socks are the pigeonholes.
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Shaniece was given a large box of 48 chocolates for her birthday. If she eats exactly 3 chocolates each day, how many chocolates would Shaniece have remaining 5 days after her birthday?
Answers
Answer:
33 chocolates
Step-by-step explanation:
3 chocolates times 5 days = 15 chocolates
48 chocolates minus 15 chocolates = 33 chocolates
A raft left port A traveling towards port B. At the same time a motorboat left port B traveling towards port A. How many hours since the departure will the two meet if the raft can cover the distance between ports A and B in 30 hours and the boat can cover the same distance in 6 hours?
Answers
Answer:
5 Hours
Step-by-step explanation:
Calculate the margin of error and construct a confidence interval for the population proportion using the normal approximation to the p^ -distribution (if it is appropriate to do so). a. p^=0.8,n=120,α=0.02 E= Round to four decimal places if necessary Enter o if normal approximation cannot be used
Answers
The margin of error (E) can be calculated using the formula \(E = z_{\frac{\alpha}{2}}\sqrt{\frac{p^*(1-p^*)}{n}}$\), where \(z_{\frac{\alpha}{2}}$\) is the z-value with a cumulative probability of -2.33. Using the standard normal distribution table, the z-value corresponding to 0.01 is -2.33. The margin of error (E) is 0.0736, allowing for a 95% confidence interval for the true population proportion (p) using the normal approximation to the binomial distribution.
The formula to calculate the margin of error in this case is given by the formula below: \($E = z_{\frac{\alpha}{2}}\sqrt{\frac{p^*(1-p^*)}{n}}$\),
where \($z_{\frac{\alpha}{2}}$\) is the z-value with a cumulative probability of \($\frac{\alpha}{2}$, $p^*$\)
is the sample proportion, and n is the sample size. Now, given that p^ = 0.8, n = 120 and α = 0.02, we can calculate the margin of error (E) as follows:
Firstly, we need to find the z-value with a cumulative probability of
\($\frac{\alpha}{2}$ or $\frac{0.02}{2}\) = 0.01
in the standard normal distribution table. The z-value corresponding to 0.01 is -2.33. Then, substituting these values into the formula above we get:
\($$E = z_{\frac{\alpha}{2}}\sqrt{\frac{p^*(1-p^*)}{n}} = -2.33\sqrt{\frac{0.8(1-0.8)}{120}}$$ $$E = 0.0736$$\)
Therefore, the margin of error (E) is 0.0736. This means that we can construct a confidence interval for the true population proportion (p) with 95% confidence using the formula below\(:$$CI = \left(p^ - E, p^ + E \right)$$\) Where p^ is the sample proportion. Now substituting the values given above we get:\($$CI = \left(0.8 - 0.0736, 0.8 + 0.0736 \right)$$ $$CI = (0.7264, 0.8736)$$\)
Hence, the 95% confidence interval for the true population proportion (p) is (0.7264, 0.8736). We used the normal approximation to the binomial distribution since the sample size is large enough.
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What is the probability that a randomly selected person from the survey prefers bacon.
Answers
The probability that a randomly selected person from the survey prefers bacon would be 60% in this example. However, without knowing the specific numbers, we cannot calculate the probability accurately.
To determine the probability that a randomly selected person from the survey prefers bacon, we need additional information such as the total number of respondents in the survey and the number of people who prefer bacon. Without this information, it is not possible to calculate the exact probability.
The probability can be calculated by dividing the number of people who prefer bacon by the total number of respondents in the survey. If the survey provides these specific numbers, we can use the formula:
Probability = Number of people who prefer bacon / Total number of respondents
For example, if the survey includes 100 respondents and 60 of them prefer bacon, the probability would be:
Probability = 60 / 100 = 0.6 or 60%
Therefore, the probability that a randomly selected person from the survey prefers bacon would be 60% in this example. However, without knowing the specific numbers, we cannot calculate the probability accurately.
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Find the product of 32 and 46. Now reverse the digits and find the product of 23 and 64. The products are the same!
Does this happen with any pair of two-digit numbers? Find two other pairs of two-digit numbers that have this property.
Is there a way to tell (without doing the arithmetic) if a given pair of two-digit numbers will have this property?
Answers
Let's calculate the products and check if they indeed have the same value:
Product of 32 and 46:
32 * 46 = 1,472
Reverse the digits of 23 and 64:
23 * 64 = 1,472
As you mentioned, the products are the same. This phenomenon is not unique to this particular pair of numbers. In fact, it occurs with any pair of two-digit numbers whose digits, when reversed, are the same as the product of the original numbers.
To find two other pairs of two-digit numbers that have this property, we can explore a few examples:
Product of 13 and 62:
13 * 62 = 806
Reversed digits: 31 * 26 = 806
Product of 17 and 83:
17 * 83 = 1,411
Reversed digits: 71 * 38 = 1,411
As for determining if a given pair of two-digit numbers will have this property without actually performing the multiplication, there is a simple rule. For any pair of two-digit numbers (AB and CD), if the sum of A and D equals the sum of B and C, then the products of the original and reversed digits will be the same.
For example, let's consider the pair 25 and 79:
A = 2, B = 5, C = 7, D = 9
The sum of A and D is 2 + 9 = 11, and the sum of B and C is 5 + 7 = 12. Since the sums are not equal (11 ≠ 12), we can determine that the products of the original and reversed digits will not be the same for this pair.
Therefore, by checking the sums of the digits in the two-digit numbers, we can determine whether they will have the property of the products being the same when digits are reversed.
Evan went to the grocery store and purchased cans of soup and frozen dinners. Each can of soup has 150 mg of sodium and each frozen dinner has 550 mg of sodium. Evan purchased a total of 16 cans of soup and frozen dinners which collectively contain 5200 mg of sodium. Determine the number of cans of soup purchased and the number of frozen dinners purchased.
Answers
Answer:
Evan purchased 7 frozen dinners and 9 cans of soup.
Step-by-step explanation:
Since Evan went to the grocery store and purchased cans of soup and frozen dinners, and each can of soup has 150 mg of sodium and each frozen dinner has 550 mg of sodium, and Evan purchased a total of 16 cans of soup and frozen dinners which collectively contain 5200 mg of sodium, to determine the number of cans of soup purchased and the number of frozen dinners purchased the following calculation must be performed:
16 x 550 + 0 x 150 = 8800
8800 - 5200 = 3600
550 - 150 = 400
3600/400 = 9
7 x 550 + 9 x 150 = X
5200 = X
Therefore, Evan purchased 7 frozen dinners and 9 cans of soup.
what is an integer to represent a 14 feet drop?
Answers
Answer:
Step-by-step explanation:
-14 ft drop
drop is below and its a negative number
Topology question. Answer only subpart a. Need Asap.
3. Let (X, Jx) and (Y, Ty) be topological spaces defined as follows: X = {D, O, R, K} Tx = {Ø, {0}, {D, O}, {O, R}, {D, O, R}, X} Y = {M, A, T, H} Jy = {0, {M}, {M, A}, {M, A, T}, Y} (a) Let E= {0, K
Answers
Given the topological spaces X = {D, O, R, K} with the topology Tx and Y = {M, A, T, H} with the topology Jy, we are asked to determine whether the set E = {0, K} is open in X and open in Y.
To determine whether the set E = {0, K} is open in the topological spaces X and Y, we need to check if E belongs to the respective topologies, Tx and Ty.
In X, the topology Tx is given by: Tx = {Ø, {0}, {D, O}, {O, R}, {D, O, R}, X}. We can see that E = {0, K} is not explicitly listed in Tx. Therefore, E is not open in X since it does not belong to the topology.
In Y, the topology Ty is given by: Jy = {0, {M}, {M, A}, {M, A, T}, Y}. Again, E = {0, K} is not explicitly listed in Ty. Hence, E is not open in Y as it does not belong to the topology.
In both cases, the set E = {0, K} is not open in the respective topological spaces X and Y because it is not a member of the defined topologies.
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Convert 60 lbs to kg
Answers
60 pounds is equivalent to 27.2 kilograms.
To convert pounds (lbs) to kilograms (kg), you can use the conversion factor of 0.45359237. Multiply the number of pounds by 0.45359237 to get the number of kilograms. In this case, 60 pounds multiplied by 0.45359237 is equal to 27.2 kilograms.
It's important to note that this conversion is based on the International System of Units (SI) and may not be the same in other systems of measurement. Also, pounds (lbs) and kilograms (kg) are units of mass and should not be confused with other units of measurements such as length, area and volume.
It's important to use the correct unit of measurement for the task or the context, otherwise it could lead to errors and inaccurate results. Also, it's important to make sure that the measurements are made on the same scale, otherwise the conversions may not be accurate. Pounds are widely used in the United States and United Kingdom, while kilograms are used in both imperial and metric system.
This conversion is common when measuring weight or mass, such as in weight measurements, food recipes or ingredient measurements.
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they decide to each play 101010 attempts and calculate the sample mean of how many rounds they survive. they will then look at the difference in their sample means
Answers
The formula for calculating the sample mean is to take the sum of the values divided by the total number of values.
In this case, the two players would take the sum of the number of rounds they survived in their 101010 attempts, and then divide that sum by 101010. That would give them their individual sample means for the number of rounds survived.
To calculate the difference in the sample means of two players playing 101010 attempts, we can first calculate the sample mean of each player. This can be done by taking the sum of all attempts and then dividing that by the number of attempts. For example, if Player 1 had 5 attempts and survived 3 rounds, the sample mean would be 3/5 or 0.6. If Player 2 had 8 attempts and survived 4 rounds, the sample mean would be 4/8 or 0.5. We can then subtract the sample mean of Player 1 from the sample mean of Player 2 to get the difference in the sample means, which in this example would be 0.6 - 0.5 = 0.1.
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Grayson is 49.65 inches tall. Grayson's younger brother Zeke is 4.3 inches shorter than Grayson. How tall is Zeke?
Answers
Answer:
Zeke is 45.35 inches tall
Step-by-step explanation:
To find out how tall Zeke is, you must subtract 4.3 from 49.65 (Shorter means less - so subtraction)
49.65 - 4.3 = 45.35 inches tall
Answer:
45.35
Step-by-step explanation:
HEP PLSSS
Given f(x)=3x2+4x and g(x)=2x2−x+1.
What is (f+g)(x)?
5x2+3x+1
−x2−5x−1
6x2−4x+1
x2+5x−1
Answers
(fg)(x) means multiply f(x) by g(x). Use the distributive law:
(fg)(x) = (x2+3x+2)(x+1) = x3 + 3x2 + 2x + x2 + 3x + 2 = x3 + 4x2 + 5x + 2
6 × 10E2 as a standard notation
Answers
Answer:
600
Step-by-step explanation:
6x10^2 = 600
Answer:
600
Step-by-step explanation:
is the statement 15=|-15| true
Answers
Answer:
Yes! |-15| = 15
Step-by-step explanation:
Many people think of absolute value (the two bars symbol around the -15) as ALWAYS POSITIVE.
You can also think of absolute value as a distance. If you move 15 units, it doesn't matter in what direction you go. 15 units travelled is 15 units.
Lastly, absolute value has a V-shaped graph, that is because its always positive.
1. Differentiate the function f(x) = ln (81 sin^2 (x)) f’(x) 2. Differentiate the function P(t) = in ( √t2 + 9) p' (t) 3. if x2 + y2 + z2 = 9, dx/dt = B, and dy/dt = 4, find dz/dt when (x,y,z) = (2,2,1)
dz/dt =
Answers
First you will get 4dz
Blake was listening to his favorite radio station. He noticed that during one hour, 15 songs were played and 3 of them were by a group from Michigan.
A. What is the ratio of songs by the group from Michigan to the number of songs played?
B. Write the ratio in simplest form.
C. Suppose the station continues to play the ratio of songs. How many songs from the Michigan group will Blake hear in the next three hours?
Answers
Answer:
Step-by-step explanation:
A. What is the ratio of songs by the group from Michigan to the number of songs played? 3/15
B. In lowest terms, 3/15 is 1/5.
C. Suppose the station continues to play the ratio of songs. How many songs from the Michigan group will Blake hear in the next three hours? To answer this, multiply the 1-hour unit rate by 3: 3*3 = 9 Michigan group songs over the next 3 hours.
can someone help me plz
Answers
Answer:
21/2 = 10.5
y = 10.5*hours
a train begin a trip of 240 miles. the train averages 40 miles per hour, including stops. tasha wants to create a table to model how far the train is from its destination. her table is below. are the values in her table correct? if not, explain her mistake and create the correct table.
Answers
This table shows the distance remaining for the train at each hour of its journey.
Compare this table to Tasha's table to see if her values are correct.
If they differ, then her table is incorrect and you can use the table I provided as the correct one.
First, let's analyze the given information:
- Total trip distance: 240 miles
- Train's average speed: 40 miles per hour (including stops)
To find the time it takes to complete the trip, we can use the formula:
Time = Distance / Speed.
Time = 240 miles / 40 miles per hour = 6 hours
Now, Tasha wants to create a table to model how far the train is from its destination.
I will create a correct table for you and then you can compare it with Tasha's table to determine if her values are correct or not.
Table (Hours : Distance remaining in miles):
0 : 240
1 : 200
2 : 160
3 : 120
4 : 80
5 : 40
6 : 0.
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The points (–9,s) and (–6,–10) fall on a line with a slope of –4. What is the value of s?
Answers
Step-by-step explanation:
We can set up an equation for this line using slope intercept form:
\(y = mx + b\)
Where \(m\) is the slope of the line and \(b\) is the y-intercept (where the line cross the Y-axis at \(x = 0\)).
We know that the slope of the line is \(-4\) so we can plug that in for \(m\), but we don't know \(b\), so we'll have to use the given point \()(-6, -10)\) to help solve for it:
\(y = -4x + b\)
\(-10 = -4(-6) + b\)
\(-10 = 24 + b\)
\(b = -34\)
This means the equation of the line is \(y = -4x - 34\). Now we can plug in the point \((-9, s)\) and solve for \(s\):
\(y = -4x - 34\)
\(s = -4(-9) - 34\)
\(s = 36 - 34\)
\(s = 2\)
MODELING REAL LIFE You borrow $1300 to buy a telescope. What is the monthly payment?
10
11.8% Simple Interest
Equal monthly
payments for 2 years
The monthly payment is $.
please help me it’s duee
Answers
Answer:
The answer is $66.95
Step-by-step explanation:
First you multiply the Principle (1300) Rate (in decimal form which is 0.118) Time (2 years = 24 months). 1300(0.118)(2) = 306.8 add principle (1300) = $1606.8 divide by 2 years in month form (24) = $66.95
Comment if confusing.
The price of train ticket in 2020 was 3. 5% higher than 2019. The price of a ticket from bristol to london in 2020 was 2. 80 more than 2019. Work out the price of a train ticket from bristol to london
Answers
The prices for the train ticket from Bristol to London are given as follows:
2019: 80.2020: 82.8.How to obtain the prices?The prices are obtained applying the proportions in the context of the problem.
Considering the 2019 price as x, the 2020 price is given as follows:
1.035x.
The difference was of 2.80, hence the 2019 price is given as follows:
1.035x - x = 2.8
x = 2.8/0.035
x = 80.
The 2020 price is given as follows:
80 + 2.8 = 82.8.
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A spherical ball for a machine was made with a radius of 2 centimeters. if the ball has a mass of 278.1 grams, which material was used to make the ball?
Answers
The spherical ball for the machine with a radius of 2 centimeters, has a mass of 278.1 grams and will have a density of 8.29 grams per cm³, which is identical to the density of Terbium's 8.23 grams per cm³.
Thus, we can say that Terbium is the material used to make the spherical ball.
The density of an object is given as the ratio of its mass and its volume.
Density = Mass/Volume.
In the question, we are informed that a spherical ball for a machine was made with a radius of 2 centimeters.
Thus, the volume of the spherical ball, using the formula for the volume of a sphere, V = (4/3)πr³, where r is its radius, can be calculated as:
V = (4/3)π(2)³ cm³ = 32π/3 cm³ = 33.51032 cm³.
The mass of the ball is given to be 278.1 grams.
Thus, its density = 278.1/33.51032 grams per cm³ = 8.2989355 grams per cm³.
We know that the density of Terbium is 8.23 grams per cm³.
Thus, the spherical ball for the machine with a radius of 2 centimeters, has a mass of 278.1 grams, will have a density of 8.29 grams per cm³, which is identical to the density of Terbium's 8.23 grams per cm³.
Thus, we can say that Terbium is the material used to make the spherical ball.
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Answer: copper
Step-by-step explanation:
Simplify the Expression(20 points)-
-m - 7m
Answers
Answer:
-8m
Step-by-step explanation:
Combine like terms
−
−
7
{\color{#c92786}{-m}}{\color{#c92786}{-7m}}
−m−7m
−
8
{\color{#c92786}{-8m}}
−8m
Mae Ling earns a weekly salary of $365 plus a 5.0% commission on sales at a gift shop. How much she make in a workweek if she sold $4,800 worth of merchandise?
Answers
The amount that she make in a workweek if she sold $4,800 worth of merchandise will be $605.
How to calculate the value?A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100.
Here, Mae Ling earns a weekly salary of $365 plus a 5.0% commission on sales at a gift shop.
The amount that she make in a workweek if she sold $4,800 worth of merchandise will be:
= $365 + (5% × $4800)
= $605
The amount is $605.
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